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11516660516152 = 23117310964325579
BaseRepresentation
bin1010011110010110111001…
…1101011000010100111000
31111202222111212120022011201
42213211232131120110320
53002142110043004102
640254403015303544
72266023404126251
oct247455635302470
944688455508151
1011516660516152
113740208693820
12136000a37abb4
1365702a1217bc
142bb5a3347b28
1514e894ca6987
hexa796e758538

11516660516152 has 128 divisors (see below), whose sum is σ = 24137001504000. Its totient is φ = 5107611479040.

The previous prime is 11516660516131. The next prime is 11516660516189. The reversal of 11516660516152 is 25161506661511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 450226099 + ... + 450251677.

It is an arithmetic number, because the mean of its divisors is an integer number (188570324250).

Almost surely, 211516660516152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11516660516152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068500752000).

11516660516152 is an abundant number, since it is smaller than the sum of its proper divisors (12620340987848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11516660516152 is a wasteful number, since it uses less digits than its factorization.

11516660516152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26421 (or 26417 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 46.

The spelling of 11516660516152 in words is "eleven trillion, five hundred sixteen billion, six hundred sixty million, five hundred sixteen thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 44 73 88 109 146 218 292 436 584 643 803 872 1199 1286 1606 2398 2572 3212 4796 5144 6424 7073 7957 9592 14146 15914 25579 28292 31828 46939 51158 56584 63656 70087 87527 93878 102316 140174 175054 187756 204632 280348 281369 350108 375512 516329 560696 562738 700216 770957 1032658 1125476 1541914 1867267 2065316 2250952 2788111 3083828 3734534 4130632 5116351 5576222 6167656 7469068 10232702 11152444 14938136 16447297 20465404 20539937 22304888 30669221 32894594 40930808 41079874 56279861 61338442 65789188 82159748 112559722 122676884 131578376 164319496 180920267 203532103 225119444 245353768 361840534 407064206 450238888 723681068 814128412 1200652681 1447362136 1628256824 1792755373 2238853133 2401305362 3585510746 4477706266 4802610724 7171021492 8955412532 9605221448 13207179491 14342042984 17910825064 19720309103 26414358982 39440618206 52828717964 78881236412 105657435928 130871142229 157762472824 261742284458 523484568916 1046969137832 1439582564519 2879165129038 5758330258076 11516660516152